Q: What are the factor combinations of the number 132,452,645?

 A:
Positive:   1 x 1324526455 x 2649052913 x 1018866565 x 203773383 x 1595815415 x 3191631079 x 1227555395 x 24551
Negative: -1 x -132452645-5 x -26490529-13 x -10188665-65 x -2037733-83 x -1595815-415 x -319163-1079 x -122755-5395 x -24551


How do I find the factor combinations of the number 132,452,645?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 132,452,645, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 132,452,645
-1 -132,452,645

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 132,452,645.

Example:
1 x 132,452,645 = 132,452,645
and
-1 x -132,452,645 = 132,452,645
Notice both answers equal 132,452,645

With that explanation out of the way, let's continue. Next, we take the number 132,452,645 and divide it by 2:

132,452,645 ÷ 2 = 66,226,322.5

If the quotient is a whole number, then 2 and 66,226,322.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 132,452,645
-1 -132,452,645

Now, we try dividing 132,452,645 by 3:

132,452,645 ÷ 3 = 44,150,881.6667

If the quotient is a whole number, then 3 and 44,150,881.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 132,452,645
-1 -132,452,645

Let's try dividing by 4:

132,452,645 ÷ 4 = 33,113,161.25

If the quotient is a whole number, then 4 and 33,113,161.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 132,452,645
-1 132,452,645
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

151365834151,0795,39524,551122,755319,1631,595,8152,037,73310,188,66526,490,529132,452,645
-1-5-13-65-83-415-1,079-5,395-24,551-122,755-319,163-1,595,815-2,037,733-10,188,665-26,490,529-132,452,645

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